Multi-scale computational method for elastic bodies with global and local heterogeneity

Journal of Computer-Aided Materials Design

Volumn 7, Issue 2, 2000, Pages 111-132

  Takano, Naoki ^a   Zako, Masaru ^a   Ishizono, Manabu ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY; FIBER REINFORCED MATERIALS; FINITE ELEMENT METHOD; KNIT FABRICS; MICROSTRUCTURE; STRAIN; STRESS ANALYSIS;

FINITE ELEMENT SUPERPOSITION TECHNIQUE; HETEROGENEITY; HOMOGENIZATION METHOD; MICRO-MACRO COUPLING;

COMPUTER SIMULATION;

EID: 0034514494     PISSN: 09281045     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026558222392     Document Type: Article

References (40)

1. Eshelby, J.D., Proc. Royal Soc. Ser. A, 241 (1957) 376.
2. Hatta, H. and Taya, M., Trans. ASME, J. Eng. Mater. Tech., 109 (1987) 59.
3. Huysmans, G., Verpoest, I. and Houtte, P.V., Acta Mater., 46-9 (1998) 3003.
4. Sanchez-Palencia, E., Non-homogeneous Media and Vibration Theory, Springer, Berlin, 1980.
5. Lions, J.L., Some Methods in the Mathematical Analysis of Systems and Their Control, Science Press, Beijing, 1981.
6. Bakhvalov, N. and Panasenko, G., Homogenization: Averaging Processes in Periodic Media, Kluwer, Dordrecht, 1984.
7. Babuska, I., In Glowinski, R. and Lions, J.L. (Eds.) Lecture Note in Economics and Mathematical Systems 134, Springer-Verlag, Berlin, 1976, pp. 137-153.
8. Cioranescu, D. and Paulin, J.S.J., J. Math. Anal. Appl., 71-2 (1979) 590.
9. Francfort, G.A., SIAM J. Math. Anal., 14-4 (1983) 696.
10. Guedes, J.M. and Kikuchi, N., Comput. Methods Appl. Mech. Eng., 83 (1990) 143.
11. Jansson, S., Int. J. Solids Struct., 29-17 (1992) 2181.
12. Ghosh, S., Lee, K. and Moorthy, S., Comput. Methods Appl. Mech. Eng., 132 (1996) 63.
13. Aravas, N., Cheng, C. and Castened, P.P., Int. J. Solids Struct., 32-17 (1995) 2219.
14. Fish, J. and Shek, K., Comput. Methods Appl. Mech. Eng., 172 (1999) 145.
15. Fish, J., Yu, Q. and Shek, K., Int. J. Numer. Methods Eng., 45 (1999) 1657.
16. Takano, N., Uetsuji, Y., Kashiwagi, Y. and Zako, M., Modelling Simul. Mater. Sci. Eng., 7 (1999) 207.
17. Takano, N., Zako, M. and Ohnishi, Y., Mater. Sci. Res. Int., 2-2 (1996) 81.
18. Terada, K., Ito, T. and Kikuchi, N., Comput. Methods Appl. Mech. Eng., 153 (1998) 233.
19. Takano, N., Ohnishi, Y., Zako, M. and Nishiyabu, K., Int. Solids Struct., 37 (2000) 6517.
20. Fish, J., Shek, K., Pandheeradi, M. and Shephard, M.S., Comput. Methods Appl. Mech. Eng., 148 (1997) 53.
21. Lee, K., Moorthy, S. and Ghosh, S., Comput. Methods Appl. Mech. Eng., 172 (1999) 175.
22. Terada, K. and Kikuchi, N., Trans. Jpn. Soc. Mech. Eng., 64-617 (1998) 162 (in Japanese).
23. Fish, J. and Belsky, V., Comput. Methods Appl. Mech. Eng., 126 (1995) 1.
24. Fish, J. and Belsky, V., Comput. Methods Appl. Mech. Eng., 126 (1995) 17.
25. Hollister, S.J. and Kikuchi, N., Comput. Mech., 10 (1992) 73.
26. Pecullan, S., Gibiansky, L.V. and Torquato, S., J. Mech. Phys. Solids, 47 (1999) 1509.
27. Kikuchi, N., Comput. Methods Appl. Mech. Eng., 55 (1986) 129.
28. Kikuchi, N., Chung, K.Y., Torigaki, T. and Taylor, J.E., Comput. Methods Appl. Mech. Eng., 57 (1986) 67.
29. Belytschko, T., Fish, J. and Bayliss, A., Comput. Methods Appl. Mech. Eng., 81 (1990) 71.
30. Fish, J., Markolefas, S., Guttal, R. and Nayak, P., Appl. Numer. Math., 14 (1994) 135.
31. Fish, J. and Guttal, R., Int. J. Numer. Methods Eng., 39 (1996) 3641.
32. Rashid, M.M., Comput. Methods Appl. Mech. Eng., 154 (1998) 133.
33. Bathe, K.J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982.
34. Surana, K.S., Int. J. Numer. Methods Eng., 15 (1980) 991.
35. Kim, J., Varadan, V.V. and Varadan, V.K., Int. J. Numer. Methods Eng., 40 (1997) 817.
36. Hollister, S.J. and Kikuchi, N., Biotechnol. Bioeng. 43-7 (1994) 586.
37. Takano, N. and Zako, M., Trans. Jpn. Soc. Mech. Eng., 61-583 (1995) 589 (in Japanese).
38. Terada, K., Miura, T. and Kikuchi, N., Comput. Mech., 20 (1997) 331.
39. Bigourdan, B., Chauchot, P., Hassim, A. and Lene, F., In Baptiste, D. (Ed.) Mechanics and Mechanisms of Damage in Composites and Multi-Materials, 1991, Mechanical Engineering Publications, London, pp. 203-212.
40. Takano, N. and Zako, M., Proc. Second Asian-Australasian Conference on Composite Materials, Korea, August, 2000 pp. 223-228.